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Finding the Fourth Proportional to 313,464.28, 432,875.94 and 218,231.38

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Solution

The fourth proportional to 313,464.28, 432,875.94 and 218,231.38 is: 301,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,464.28 : 432,875.94 = 218,231.38 : x
  2. Step 2: Convert to fraction form
    313,464.28/432,875.94 = 218,231.38/x
  3. Step 3: Cross multiply
    313,464.28x = 432,875.94 × 218,231.38
  4. Step 4: Simplify right side
    313,464.28x = 94,467,113,755.00
  5. Step 5: Solve for x
    x = 94,467,113,755.00/313,464.28
  6. Step 6: Final answer
    x = 301,364.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.